Combinations and Probability

Permutation or Combination: A group of 14 people need to take an elevator to the top floor. They will go in groups of seven. They are deciding who will take the elevator on its second trip.

• permutation

• combination

What is the probability of getting any letter that is not A?

• 6/8

• 3/4

• 2/8

• 1/4

A jar contains 8 marbles: 3 are red and 5 are blue. What is the probability of selecting a red marble, replacing it, and then selecting another red marble?

• 9/64

• 6/56

• 15/64

• 25/64

A box contains 3 black pens, 7 blue pens, and 5 red pens. Without looking, P(red or black)

• 8/15

• 15/225

• 5/15

• 3/15

If a dice is rolled 300 times, how many times would you predict a roll of a 1 or a 6?

• 50

• 100

• 150

• 75

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

• 462

• 55440

• 55

• 1000

There are 125 juniors at the high school. How many ways can they elect a president, vice president,and secretary?

• 1906500

• 317750

• 375

• 1953125

Rob is one of seven children in his family. How many ways can his parents choose four siblings to do chores?

• 35

• 28

• 840

• 10

Permutation or Combination: Jaidee and Amy are planning trips to four countries this year. There are 6 countries they would like to visit. They are deciding which countries to skip.

• permutation

• combination

A letter of the alphabet is chosen at random, then a coin is flipped. What is the probability of choosing a letter from the word MATH then getting tails? 

• 17/26

• 1/13

• 5/13

• 5/26